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BACHELOR-OF-SCIENCE in Mathematics at Dr. Ambedkar First Grade College (Evening College)

Dr. Ambedkar First Grade College, Evening, is a premier institution located in Bangalore. Established in 1979, this co-educational college is affiliated with Bengaluru City University. Known for its academic strength in Arts, Commerce, and Science, it provides quality education to 150 students across its 3.25-acre campus, supported by a dedicated faculty.

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Bengaluru, Karnataka

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About the Specialization

What is Mathematics at Dr. Ambedkar First Grade College (Evening College) Bengaluru?

This Bachelor of Science program in Mathematics at Dr. B.R. Ambedkar First Grade Evening College, affiliated with Bangalore University, focuses on developing a strong foundation in core mathematical concepts, analytical reasoning, and problem-solving skills. The curriculum is designed under the National Education Policy 2020, emphasizing both theoretical understanding and practical applications relevant to diverse Indian industries like IT, finance, and research.

Who Should Apply?

This program is ideal for high school graduates with a strong aptitude for numbers and logical thinking, particularly those aiming for careers in quantitative analysis, data science, or teaching. It also suits individuals passionate about research or pursuing higher studies in pure or applied mathematics. A prerequisite background in PUC/10+2 with Mathematics is essential for success.

Why Choose This Course?

Graduates of this program can expect to pursue career paths in analytics, actuarial science, education, or scientific research within India. Entry-level salaries typically range from INR 3-6 lakhs annually, with significant growth potential in data analysis, financial modeling, and teaching roles. This foundation also prepares students for competitive exams for civil services or further academic pursuits.

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Student Success Practices

Foundation Stage

Build Strong Conceptual Foundations- (Semester 1-2)

Focus on thoroughly understanding core mathematical principles like calculus, algebra, and geometry. Actively participate in lectures, solve all assigned problems, and regularly review concepts to ensure clarity and retention.

Tools & Resources

NPTEL lectures, Khan Academy, NCERT textbooks, Reference books by Indian authors

Career Connection

A solid foundation is crucial for advanced topics and problem-solving in competitive exams and industry roles requiring analytical rigor.

Develop Analytical Problem-Solving Skills- (Semester 1-2)

Beyond memorization, focus on developing a systematic approach to solving problems. Practice a wide variety of problems, including those from past university papers, and learn to break down complex issues into manageable steps.

Tools & Resources

Online platforms like Brilliant.org for logic puzzles, Problem sets from various textbooks, Peer study groups

Career Connection

Essential for any quantitative role in finance, data science, or research, and for clearing aptitude tests in placements.

Enhance Communication and Presentation- (Semester 1-2)

Actively participate in classroom discussions and practice explaining mathematical concepts clearly to peers. Volunteer for presentations or lead study groups to articulate your understanding and refine communication skills.

Tools & Resources

Whiteboards, Online collaboration tools, Public speaking workshops, Peer feedback sessions

Career Connection

Crucial for collaborating in teams, presenting findings, and teaching, making you a more effective professional.

Intermediate Stage

Engage with Real-World Applications- (Semester 3-5)

Explore how mathematical concepts like differential equations, real analysis, and numerical methods are applied in physics, engineering, economics, and computer science. Look for simple projects or case studies demonstrating these applications.

Tools & Resources

MATLAB/Python libraries (NumPy, SciPy) for numerical methods, Academic papers on applications, Guest lectures from industry professionals

Career Connection

Bridges the gap between theory and practice, making you more appealing for roles in R&D, data analysis, and scientific computing.

Cultivate Programming and Software Skills- (Semester 3-5)

Actively learn and apply programming languages like Python or R, especially for numerical analysis, statistics, and data visualization. Utilize these skills to solve mathematical problems and handle datasets.

Tools & Resources

Online coding platforms (HackerRank, LeetCode), Python/R programming courses (Coursera, Udemy), Jupyter notebooks

Career Connection

Highly valuable for data science, machine learning, financial modeling, and quantitative analysis roles, enhancing employability.

Participate in Math Competitions and Workshops- (Semester 3-5)

Join mathematical societies or clubs within the college or university. Participate in local or national mathematical Olympiads, problem-solving competitions, or workshops to test and expand your abilities.

Tools & Resources

Online math forums, Problem books, College math club, Workshops organized by mathematical associations

Career Connection

Boosts critical thinking, showcases initiative, and provides networking opportunities with peers and mentors, strengthening your profile.

Advanced Stage

Pursue Specialization and Advanced Topics- (Semester 6)

Deep dive into elective areas of interest such as Topology, Number Theory, Graph Theory, or Financial Mathematics. Conduct mini-research projects or extended essays on chosen advanced topics, aligning with your career aspirations.

Tools & Resources

Advanced textbooks, Research papers (arXiv, JSTOR), University professors for guidance, Specialized software for simulations

Career Connection

Prepares for master''''s or PhD programs, and niche roles requiring expert mathematical knowledge in specific domains like finance or cryptography.

Focus on Internship and Project Work- (Semester 6)

Actively seek and complete an internship in a relevant industry (e.g., data analytics, finance, education) or undertake a significant final year project under faculty supervision, applying mathematical principles to solve a real-world problem.

Tools & Resources

College placement cell, LinkedIn, Professional networking, Project documentation tools, Presentation software

Career Connection

Provides practical industry experience, builds a professional network, and is crucial for securing placements and demonstrating applied skills.

Prepare for Higher Studies or Job Market- (Semester 6)

Decide on a clear career path (e.g., M.Sc., MBA, teaching, data scientist). Prepare thoroughly for entrance exams (e.g., JAM for M.Sc., CAT for MBA) or aptitude tests and interviews for job placements. Refine your resume and interview skills.

Tools & Resources

Coaching centers, Online mock test series, Career counselors, University alumni network, Professional resume builders

Career Connection

Ensures a smooth transition post-graduation, maximizing opportunities for advanced education or immediate employment in desired fields.

Program Structure and Curriculum

Eligibility:

  • Passed PUC/10+2 or equivalent examination with Mathematics as one of the subjects from a recognized board.

Duration: 3 years / 6 semesters (Basic B.Sc. with option for 4 years / 8 semesters for B.Sc. Honours)

Credits: 104 (for 3-year Basic B.Sc.) Credits

Assessment: Internal: 40%, External: 60%

Semester-wise Curriculum Table

Semester 1

Subject CodeSubject NameSubject TypeCreditsKey Topics
MATDSC1Calculus and Analytical GeometryDiscipline Specific Core (DSC)4Differential Calculus of functions of one variable, Partial Differentiation, Integral Calculus, Analytical Geometry of Two Dimensions, Analytical Geometry of Three Dimensions
Ability Enhancement Compulsory Course (AECC)Compulsory2Indian Constitution, Environmental Studies, Kannada, English
Skill Enhancement Course (SEC)Skill Based2Computer Fundamentals, Web Designing, Office Automation

Semester 2

Subject CodeSubject NameSubject TypeCreditsKey Topics
MATDSC2AlgebraDiscipline Specific Core (DSC)4Group Theory, Subgroups and Normal Subgroups, Permutation Groups, Rings and Fields, Vector Spaces
Ability Enhancement Compulsory Course (AECC)Compulsory2Environmental Studies, Indian Constitution, Kannada, English
Skill Enhancement Course (SEC)Skill Based2Data Science with Python, MATLAB Programming, R Programming

Semester 3

Subject CodeSubject NameSubject TypeCreditsKey Topics
MATDSC3Real AnalysisDiscipline Specific Core (DSC)4Real Number System, Sequences and Series, Continuity and Uniform Continuity, Differentiation of Functions, Riemann Integration
MATDSC4Differential EquationsDiscipline Specific Core (DSC)4First Order Ordinary Differential Equations, Higher Order Linear Differential Equations, Laplace Transforms, Partial Differential Equations, Formation and Solutions of PDEs
Skill Enhancement Course (SEC)Skill Based2LaTeX for Document Preparation, Scientific Computing with Python, Graph Theory Applications
Open Elective (OE)Elective (Non-Math)3Various subjects offered by other departments
Vocational Course (VC)Vocational2Practical skills for employability

Semester 4

Subject CodeSubject NameSubject TypeCreditsKey Topics
MATDSC5Complex AnalysisDiscipline Specific Core (DSC)4Complex Numbers and Functions, Analytic Functions, Complex Integration and Cauchy''''s Theorem, Series Expansions (Taylor and Laurent), Residue Theory and Applications
MATDSC6Numerical AnalysisDiscipline Specific Core (DSC)4Solution of Algebraic and Transcendental Equations, Interpolation Techniques, Numerical Differentiation, Numerical Integration, Numerical Solutions of Ordinary Differential Equations
Skill Enhancement Course (SEC)Skill Based2Mathematical Logic, Cryptography, Optimization Techniques
Open Elective (OE)Elective (Non-Math)3Various subjects offered by other departments
Vocational Course (VC)Vocational2Practical skills for employability

Semester 5

Subject CodeSubject NameSubject TypeCreditsKey Topics
MATDSC7Modern AlgebraDiscipline Specific Core (DSC)4Groups and Homomorphisms, Rings, Ideals, and Factor Rings, Fields and Extension Fields, Vector Spaces and Subspaces, Linear Transformations
MATDSE1Discipline Specific Elective (DSE-1) - Choice basedElective (Mathematics)3Graph Theory, Number Theory, Operations Research, Mathematical Modelling
Open Elective (OE)Elective (Non-Math)3Various subjects offered by other departments
Vocational Course (VC)Vocational2Practical skills for employability
Internship / Project Work / DissertationPractical/Project2Industry exposure, Research methodology, Report writing, Presentation skills

Semester 6

Subject CodeSubject NameSubject TypeCreditsKey Topics
MATDSC8TopologyDiscipline Specific Core (DSC)4Topological Spaces and Open Sets, Closed Sets and Closure, Continuity and Homeomorphism, Compactness and Connectedness, Separation Axioms
MATDSE2Discipline Specific Elective (DSE-2) - Choice basedElective (Mathematics)3Advanced Numerical Analysis, Fluid Dynamics, Financial Mathematics, Tensor Analysis
Open Elective (OE)Elective (Non-Math)3Various subjects offered by other departments
Vocational Course (VC)Vocational2Practical skills for employability
Internship / Project Work / DissertationPractical/Project2Advanced project implementation, Data analysis and interpretation, Research report writing, Public presentation of findings
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